Isaiah 53:6 For each one of us, like sheep have gone our own way.....
Romans 3:23 For all have sinned and fallen short of the glory of God...
Now, since ALL have sinned, then how can Proverbs 22:6 make a case for salvation of children by training? Has no one ever trained up their child?
That does not mean you should not school your children in the ways of the Lord, and be an example of Christian living.
If training children was sufficient to save the world, the Son of God would not have needed to ransom us with his blood.
However, there is a tension, because all things are possible with God...the intercession of parents in prayer is powerful. But children STILL have a sin nature, and free will. God did not make puppets, He made people.
Please re-read my Post #44. Please note my comment that children are able to reject the Truth.
I think you are finding disagreement where none exists.
Yes… free will… that is the fly in the ointment.